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Simplifying 8(b + -2) + 3b = 9(b + -1) Reorder the terms: 8(-2 + b) + 3b = 9(b + -1) (-2 * 8 + b * 8) + 3b = 9(b + -1) (-16 + 8b) + 3b = 9(b + -1) Combine like terms: 8b + 3b = 11b -16 + 11b = 9(b + -1) Reorder the terms: -16 + 11b = 9(-1 + b) -16 + 11b = (-1 * 9 + b * 9) -16 + 11b = (-9 + 9b) Solving -16 + 11b = -9 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -16 + 11b + -9b = -9 + 9b + -9b Combine like terms: 11b + -9b = 2b -16 + 2b = -9 + 9b + -9b Combine like terms: 9b + -9b = 0 -16 + 2b = -9 + 0 -16 + 2b = -9 Add '16' to each side of the equation. -16 + 16 + 2b = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 2b = -9 + 16 2b = -9 + 16 Combine like terms: -9 + 16 = 7 2b = 7 Divide each side by '2'. b = 3.5 Simplifying b = 3.5
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